Find the product of the 3+ V11 and its conjugate.

Find The Product Of The 3+ V11 And Its Conjugate.

Answers

Answer 1

Answer:

It would be -2.

Step-by-step explanation:

Key skills: Conjugate, Distribution Property, and Addition/Subtraction

3 + [tex]\sqrt{11\\}[/tex] is your expression. The conjugate is an important concept you need to know to solve this.

Given the expression: [tex]a + \sqrt{b\\}[/tex]

It's conjugate would be: [tex]a - \sqrt{b}[/tex]

(Basically if there is an addition sign between the 2 terms, it would become a subtractions symbol and if there is a subtraction symbol it would become an addition symbol)

1) So the conjugate of  [tex]3+ \sqrt{11}[/tex] would be [tex]3 - \sqrt{11}[/tex]

2) Now we would have to multiply them

([tex]3 + \sqrt{11}[/tex])([tex]3- \sqrt{11}[/tex]) is your expression. If you use distribution property, you will get to: [tex]3^{2} + 3\sqrt{11} - 3\sqrt{11} + \sqrt{11}^{2}[/tex] The two middle terms would cancel out (they both add up to 0), so then we have [tex]3^{2} - \sqrt{11}^2[/tex] This would simplify into 9-11, which is then -2

Hope you understood, and have a nice day!! :)


Related Questions

For ΔQRS use the Triangle Proportionality Theorem to solve for x.
After you have solved for x, what is the Perimeter of ΔQRS?

Can you answer, show work, and explain it to me?
I struggle a lot with this type of math, thank you.

Answers

Answer:

Thanks for the points :3

1. Hannah added 5 marbles to her bag of marbles as shown in the model below.Create an equation using the model shown ( remember to use a variable for the unknown quantity). Explain the first step needed in order to solve your equation. How many marbles (m) did Hannah originally have in her bag?

Answers

Answer: Poop man

Step-by-step explanation: You throw your poop

Pls help! Will mark first correct answer brainliest

Answers

Answer:

1.25, 40

1.6, 30

Step-by-step explanation:

First, we'll state that the lbs of candy worth $1.25 is A and the lbs of candy worth $1.6 is B.

We write the equations: A + B = 70, (This is the lbs)

and, 1.25A + 1.6B = 1.4(70) (This is money)

Next, choose an equation you want to solve for, in this case, I'll choose A.

In the lbs equation, subtract A from both sides, A - A + B = 70 to get B = 70 - A

Now substitute this equation into the money equation.

1.25A + 1.6(70 - A) = 98

1.25A + 112 - 1.6A = 98

-0.35A = -14

multiply by negative

0.35A = 14

divide

A = 40

Then, you substitute 40 into the lbs equation, 40 + B = 70, making B = 30! Done!

Solve the system by substitution.
-5x+3y=2
Y=2x

Answers

Answer:

2 is the required answer.

Step-by-step explanation:

Solution:

Given:

-5x+3y=2..............(i)

Putting the value of y=2x in the equation (i); we get:

i.e -5x+3×2x=2

or, -5x+6x=2

or, x=2

i.e. x=2

y=2x=2×2=4

Find the coordinates of point B

Answers

The coordinate should be (4,5)


Write an equation for the n
term of
the arithmetic sequence:
15, 28, 41, ...​

Answers

Answer:

13n+2

Step-by-step explanation:

find the difference between the numbers which is 13

》13n

from 13 to 15 you add 2

》13n+2

Find the value of x in the following triangle

Answers

61 + 86 = 147

180 - 147 = 33

x = 33

the interior sum of angles is equal to 180 , in order to find x you would use the already established values of two corners and find the missing value

Which of the following is equivalent to the expression 8/3 - 5/6 - 2/12

Group of answer choices


1_2/3


14_2/3


2


13_1/3

Answers

Given:

The expression is

[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]

To find:

The expression which is equivalent to the given expression.

Solution:

We have,

[tex]\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{2}{12}[/tex]

It can be written as

[tex]=\dfrac{8}{3}-\dfrac{5}{6}-\dfrac{1}{6}[/tex]

Taking LCM, we get

[tex]=\dfrac{16-5-1}{6}[/tex]

[tex]=\dfrac{10}{6}[/tex]

[tex]=\dfrac{5}{3}[/tex]

The mixed fraction of this improper fraction is

[tex]=\dfrac{1\times 3+2}{3}[/tex]

[tex]=1\dfrac{2}{3}[/tex]

So, the expression [tex]1\dfrac{2}{3}[/tex] is equivalent to the given expression.

Therefore, the correct option is A.

Find x, y, and z.
10.
Z
Х
5
7

Answers

Answer: =10

Step-by-step explanation:

a telephone pole casts a 10 food shadow. A horse that stands 5.5 feet tall casts a 2.5 foot shadow. How tall is the pole?

Answers

Answer:

72

i think i remember doing this

Question 10
2 points
Save Answer
Donald, owner of Dallas Company, begin accounting for bad debts expense. Assume that Dallas Company has total revenues of $79,000 during 2019 and the Accounts Receivable balance on
December 31 2019. is $42.000
Assume that Dallas Company has one account receivable of $4,850 determined to be uncollectable, what journal entry is made to write of the uncollectable account?

Answers

Answer:

Allowance for doubtful account Dr 4850 , To Account receivable Cr 4850

Step-by-step explanation:

Journal Entry                                    Debit    Credit

Allowance for doubtful account    $4850  

To Account receivable                                   $4850

A debit to the allowance for doubtful accounts is to reduce the allowance balance that was previously established and a credit to the accounts receivable is to remove the amount that will not be collected.

You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
from the bowl. What is the new probability that you will draw another orange candy?
А 1/5
B 1/6
С 1/8
D 5/24

Answers

Answer: B) 1/6

Explanation: First, we want to add up all the candies, and after doing that we discover that there are 25 candies in total. Next, we take away an orange candy, leaving us with 4 orange candies, but it also takes away 1 from the number of total candies, leaving us with 24 total candies. Finally, we put orange candies as our numerator and total candies as our denominator and get 4/24, which simplified becomes 1/6.

Answer:

A. 1/5

Step-by-step explanation:

The chances of drawing another orange would be 20%. And since means 1/5 in fraction form, A. is the answer.

According to the stem and leaf plot above, how many students scored grades lower than $60

Answers

Answer:

7

Step-by-step explanation:

21,30,39,39,47,47,48.

basically 6|2 means 62 same with the others.

HOpe this helps plz hit the crown :D

You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
A
50%
B
60%
с
20%
D
25%

Answers

Answer:

с ) 20%

Step-by-step explanation:

There are 5 orange candies, and 25 total candies to choose from. If you only want to pick the orange candies, then the probability would be 5/25, or 1/5.

1/5, in percentage, is 20%.

5x5x5x5x5x5=... plz answer

Answers

Answer: 15,625

Step-by-step explanation: 5x5x5x5x5x5= 15,625

Write the expression with fewer terms.

10−2

Answers

10-2 = 8
2^3 =8
(2x2x2) = 8

Answer:

8

Step-by-step explanation:

(10-2 is 8)

Hope this helps!

A pack of six cans of coffee cost $12. How much would 19 cans ofcoffee cost?

Answers

Answer: $38

Explanation: To find the answer, first of all we need to find out how much one can costs. We can do this by doing 12/6 and we discover that 1 can costs $2. We then do 19(2) to find the price of 19 cans and find out that it is $38. Hope this helped!

Solve for x. Round to the nearest hundredth

Answers

Step-by-step explanation:

done

....................

what is the recursive formula for this sequence? 45,40,35,30,25 ...​

Answers

Answer:

-5

Step-by-step explanation:

each number in that line is just being subtracted by 5 each time. like 45-5=40 and 40-5=35 and so on.


Write an equation for the nth term of
the arithmetic sequence:
15,28,41 ....

Answers

Answer:

The equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

Step-by-step explanation:

We need to write an equation for the nth term of  the arithmetic sequence:

15,28,41 ....

The equation for arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

Where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is first term and d is common difference

In the given sequence we have:

a₁ = 15

a₂ = 28

We can find common difference using the formula:

[tex]a_n=a_1+(n-1)d\\Put\: n=2, a_2=28\: and\: a_1=15\\a_2=a_1+(2-1)d\\28=15+d\\d=28-15\\d=13[/tex]

So, the common difference d is 13

Now, equation for nth term will be:

[tex]a_n=a_1+(n-1)d\\Put\:a_1=15, d=13\\a_n=15+(n-1)13\\Solving:\\a_n=15+13n-13\\a_n=13n+2[/tex]

So, the equation for the nth term of  the given arithmetic sequence is: [tex]\mathbf{a_n=13n+22}[/tex]

where n=1,2,3..

I GIVEEEEE BRAINLILST
I NEED HELPPPP

Answers

what do you need help on?

:):):):):):):):):):):):)):):):):):):):)

ULT ma
4. Write an expression, then evaluate.
a. 1/4of the sum of 18 and 6

Answers

Answer: Required expression: [tex]\dfrac14\times(18+16)[/tex]

Result: [tex]\dfrac{17}{2}[/tex]

Step-by-step explanation:

Given phrase:  [tex]" \dfrac14\text{ of the sum of } 18\text{ and }6. "[/tex]

Required expression: [tex]\dfrac14\times(18+16)[/tex]    ['+' used to express sum, 'x' used in place of 'of']

Since 18+16 = 34

Then,

[tex]\dfrac14\times(18+16)=\dfrac14\times34 \\\\=\dfrac{1}{2}\times17\ \ \text{[Divide numerator and denominator by 2]}\\\\=\dfrac{17}{2}[/tex]

Hence,     [tex]\dfrac14\times(18+16)=\dfrac{17}{2}.[/tex]  

Y=2x+3
Y=-3x+3
X=? Y=?

Answers

taking

Y=2x+3____(1)

Y=-3x+3____(2)

making take equation 1 and equate to 2 since y=2x+3

2x+3=-3x + 3

bringing together like terms

2x+3x=3-3

5x=0 so

x=0

substitute x=0 in equation(2)

y=-3(0)+3

y=3

Find the solution to each number sentence below:

(1) - 10 + 15 = _______

(2) 28 + (-29) = _______

(3) -40.5 + (-0.5) = ______

(4) 50 - (- 5) = ______ (5) 100 - 255 = ______
(Hint: take away a negative means adding the opposite)

Answers

Answer:

1. 5

2. -1

3.-41

4. 55

5.-155

Step-by-step explanation:

Answer:

1) 5

2) -1

3) - 41

4) 55

5) -155

Michael buys a dozen donuts for his friends for $6 what is the unit rate

Answers

Answer:

6 dollars per dozen

Step-by-step explanation:

This is a fraction equal to

6 dollars ÷ 1 dozen

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 1

6 dollars ÷ 1

1 dozen ÷ 1

=  

6 dollars

1 dozen

=  

6 dollars

dozen

= 6 dollars per dozen

can someone plz help me witt this??

Answers

Answer:

23

Step-by-step explanation:

sythenic division hard asab

Plot 5 in the complex plane.

Answers

answer is there a photo or something we can see

Step-by-step explanation:

because just saying plot 5 doesn't make sense so we probably need a photo or more information

Can I see a photo because how I’m suppose to help you. Your just saying plot 5 in the complex plane with no image

which equation represents the function?​

Answers

Answer:

[tex]y = \frac{5}{3}x +9[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the equation

First: We calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex](x_2,y_2) = (0,9)[/tex]

The slope becomes:

[tex]m = \frac{9-(-1)}{0 - (-6)}[/tex]

[tex]m = \frac{9+1}{0+6}[/tex]

[tex]m = \frac{10}{6}[/tex]

[tex]m = \frac{5}{3}[/tex]

The equation is then calculated as:

[tex]y - y_2 = m(x-x_2)[/tex]

So, we have:

[tex]y - 9 = \frac{5}{3}(x - 0)[/tex]

[tex]y - 9 = \frac{5}{3}x[/tex]

Make y the subject

[tex]y = \frac{5}{3}x +9[/tex]

Express 2700 as a product of prime numbers.​

Answers

Answer:

9669

Step-by-step explanation:

69

The answer is:
9669
69

There were 3 squirrels and 18 acorns on Josh's back porch. What was the ratio of acorns to squirrels?

Answers

Answer:

3/18

Step-by-step explanation:

Answer:

18:3

Step-by-step explanation:

acorns go first then squirrels cause the question says acorns TO squirrels

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